253/31 as a Decimal and Mixed Number

253/31 as a decimal and mixed number expansion provides the detailed information about what is 253/31 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

253/31 as a Decimal
253/31 = 8.1613
Hence,
253/31 as a decimal equals to 8.1613
where,
253/31 is a given fraction,
The decimal expansion of 253/31 is 8.1613

253/31 as a Mixed Number
253/31 = (248 + 5)/31
= 248/31 + 5/31
= 8 + 5/31
= 8 5/31
253/31 = 8 5/31

Hence,
253/31 as a mixed number is 8 ⁵/₃₁
where,
253/31 is a given fraction,
8 ⁵/₃₁ is the mixed number representation of 253/31.

The below work with steps provide the detailed information about how to convert fraction 253/31 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 253/31

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 253/31.

step 2 The numerator is greater than the denominator of the fraction 253/31, so write the given fraction in the expression form in terms of denominator as like the below:
= 253/31
= 248 + 5/31
= (8 x 31) + 5/31

step 3 Make the above expression as individual fractions:
= (8 x 31)/31 + 5/31

step 4 Simplify the above expression:
= 8 x 31/31 + 5/31
= 8 + 5/31
8 + 5/31 can be written as a mixed number 8 ⁵/₃₁.


step 5 Find the decimal equivalent for the fractional part 5/31 in the above expression:
= 8 + 0.1613
= 8.1613
253/31 = 8.1613

Hence,
253/31 as a decimal is 8.1613
253/31 as a mixed number is 8 ⁵/₃₁